Hi emme1!

This is a multiple linear regression where you test the individual coefficients with a t-test.

Btw, ANOVA is not involved (there are no variances that are being analyzed).

For the first coefficient, you have:

H0: B1=0

H1: B1≠0

It's a t-distribution with n-3=100-3=97 degrees of freedom (generally df=n-p-1, where p is the number of parameters).

You get (slight modification of what you wrote):

t=(b1-0)/SEb1=-0,0632-0/0,0196=-3,22

Assuming an alpha of 5%, your critical t-value is t*=1,98.

(As you can see this is quite close to the 1,96 critical z-value you already had.)

Since t = -3,22 < -1,98, it follows that H0 can be rejected.

So yes, age has a significant effect on the outcome.

The method for the other coefficient is the same.